180 



THEORY OF JUPITER'S SATELLITES. 



Assuming the values for a* 



Again 



we have 



a 



d\ 

 da 



log 



logm 5-2387509 



9-6989700 



5-2789464 

 0000190084 



4-0510879 

 0000011248 



5-4075649 

 0000255602 

 Hence we have the following terms multiplying - 3 and -^ respectively, 



Ct Cb 



1 + m 



Satellite I 



1-0000173281 

 000674462 



Satellite II 



1 + m' 



da 



- ma 



Zi 



- - ma 



2 



da! 

 da' 



1-0000232355 

 000266438 



0000255602 

 0000190084 



0000011248 

 1-0002951005 



[* These are taken from the values of a, a', a", a'" found on p. 192.] 

 [t These quantities are taken from Runkle's ' Tables.'] 



